A spring is stretched 3 in. when an 8-lb weight is hung on it. The 8-lb weight is attached and pushed up 4 in. above the equilibrium point and given a downward initial velocity of 8 ft/sec to set its motion. Assume g=32 ft/s². There is no damping force or externally applied force. If x is the displacement from the equilibrium position in feet, the differential equation that models the system is O x"+64x = 0 O x"+256x = 0 %3D O x"+128x = 0 O x"+8x = 0

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Chapter2: Graphical And Tabular Analysis
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49.
A spring is stretched 3 in. when an 8-lb weight is hung on it.
The 8-lb weight is attached and pushed up 4 in. above the
equilibrium point and given a downward initial velocity of 8
ft/sec to set its motion. Assume g=32 ft/s². There is no
damping force or externally applied force.
If x is the displacement from the equilibrium position in feet,
the differential equation that models the system is
O x"+64x = 0
O x"+256x = 0
O x"+128x = 0
O x"+8x = 0
Transcribed Image Text:A spring is stretched 3 in. when an 8-lb weight is hung on it. The 8-lb weight is attached and pushed up 4 in. above the equilibrium point and given a downward initial velocity of 8 ft/sec to set its motion. Assume g=32 ft/s². There is no damping force or externally applied force. If x is the displacement from the equilibrium position in feet, the differential equation that models the system is O x"+64x = 0 O x"+256x = 0 O x"+128x = 0 O x"+8x = 0
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